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3 years ago

Which statements are true? Check all that apply. ( the formula for the area of a triangle is A = 1/2bh.)

Mathematics

1 answer:

never [62]3 years ago

5 0

The formula is correct but I do not see any of the other statements. so yes the formula is true.

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A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces

denis-greek [22]

Answer:

3 1/4 inches

Step-by-step explanation:

22 3/4 ÷ 7

21÷7=3

1 3/4 = 7/4

7/4= 1/4+1/4+1/4+1/4+1/4+1/4+1/4

3 1/4 inches

4 0

3 years ago

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Find all values of x such that <img src="https://tex.z-dn.net/?f=%5Csqrt%7B4x%5E2%7D%20-%5Csqrt%7Bx%5E2%7D%3D%206" id="TexFormul

tester [92]

There are two answers.
6 and -6

3 0

3 years ago

What is 86.69 rounded to the nearest dollar?

xxMikexx [17]

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3 years ago

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Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit

ikadub [295]

The square (call it $S$ ) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is $\vec n=\vec\imath-\vec k$ , which is enough information to figure out the equation of the plane containing $S$ :

$(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x$

We can parameterize this surface by

$\vec s(x,y)=x\,\vec\imath+y\,\vec\jmath+x\,\vec k$

for $0\le x\le\frac3{\sqrt2}$ and $0\le y\le3$ . Then the flux of $\vec F$ , assumed to be

$\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k$ ,

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_0^{3/\sqrt2}\left((4+e^{xy}+9x)\,\vec\imath+(9+e^{xy}+4x)\,\vec\jmath+(e^{xy}+9x)\,\vec k\right)\cdot(\vec\imath-\vec k)\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_0^{3/\sqrt2}4\,\mathrm dx\,\mathrm dy=\boxed{18\sqrt2}$

3 0

3 years ago

Can someone PLEASE tell me the answer

Kryger [21]

Answer:

the answer is C 36

Step-by-step explanation:

7 0

3 years ago